M. Studniarski, NECESSARY OPTIMALITY CONDITIONS FOR NONSMOOTH 2-DIMENSIONAL CONTROL-SYSTEMS DESCRIBED BY ROESSER MODEL, Control and Cybernetics, 27(1), 1998, pp. 51-61
Necessary optimality conditions for nonlinear nonsmooth two-dimensiona
l discrete control systems are derived. Under additional convexity ass
umptions, these conditions can be obtained in the form of a maximum pr
inciple. For some special cases, sufficient optimality conditions are
also presented.